Atkin-Lehner |
2- 3- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97704k |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-110057346978020352 = -1 · 210 · 36 · 233 · 594 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47043,-16437330] |
[a1,a2,a3,a4,a6] |
j |
-15423440264964/147431931287 |
j-invariant |
L |
4.5251123321606 |
L(r)(E,1)/r! |
Ω |
0.14140976532102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10856a1 |
Quadratic twists by: -3 |